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Finding the Fourth Proportional to 488,940,989.70, 733,411,484.55 and 294,752,448.30

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Solution

The fourth proportional to 488,940,989.70, 733,411,484.55 and 294,752,448.30 is: 442,128,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,940,989.70 : 733,411,484.55 = 294,752,448.30 : x
  2. Step 2: Convert to fraction form
    488,940,989.70/733,411,484.55 = 294,752,448.30/x
  3. Step 3: Cross multiply
    488,940,989.70x = 733,411,484.55 × 294,752,448.30
  4. Step 4: Simplify right side
    488,940,989.70x = 216,174,830,682,450,112
  5. Step 5: Solve for x
    x = 216,174,830,682,450,112/488,940,989.70
  6. Step 6: Final answer
    x = 442,128,672.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.